Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

400×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	25	6
1	69	5
2	195	4
3	461	4
4	969	4
5	1760	4
6	2455	4
7	3258	4
8	3451	4
9	3451	4

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (- d2 d3) (- d4 d1)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
7×	`associate-r`
6×	`associate-*r/`
5×	`add-sqr-sqrt`
4×	`flip3--` `frac-add` `flip--` `distribute-lft-out` `distribute-lft-out--`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

12.0ms

(* d1 (+ (- d2 d3) (- d4 d1)))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* d1 (+ (- d2 d3) (- d4 d1)))

simplify47.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	298	214
1	1486	191
2	5003	191

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* d1 (- d4 d1))
0.0b	(* d1 (- d2 d3))
0.0b	(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`associate-*r/`
11×	`*-un-lft-identity`
10×	`associate-r`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`flip3--` `associate-l` `flip--`
5×	`add-log-exp`
4×	`associate-+l+` `associate-+r+` `frac-add`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 76

Calls

3 calls:

7.0ms	(* d1 (- d4 d1))
6.0ms	(* d1 (- d2 d3))
8.0ms	(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* d1 (- d4 d1))
35.0ms	(* d1 (- d2 d3))
55.0ms	(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	407	422
1	2021	395
2	5001	395

prune160.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* d1 (- d2 d3)) (/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
0.3b	(- (pow d4 3) (pow d1 3))
4.0b	(* d1 (- (pow d4 3) (pow d1 3)))
33.6b	(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
32×	`difference-of-squares`
28×	`*-un-lft-identity`
25×	`associate-r`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1` `associate-*r/`
5×	`sub-neg`
4×	`distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `flip--`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `frac-add` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

13.0ms	(+ (* d1 (- d2 d3)) (/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
14.0ms	(- (pow d4 3) (pow d1 3))
18.0ms	(* d1 (- (pow d4 3) (pow d1 3)))
20.0ms	(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

series333.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(+ (* d1 (- d2 d3)) (/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1)))))
50.0ms	(- (pow d4 3) (pow d1 3))
62.0ms	(* d1 (- (pow d4 3) (pow d1 3)))
102.0ms	(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

simplify97.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	610	1194
1	3092	1077
2	5001	1070

prune368.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample706.0ms

Algorithm

intervals

Results

388.0ms

11902×

body

valid